A Measure of Gender Wage Discrimination at Quantiles

Revised: 2006-05.-- Published as an article in: Journal of Population Economics, 2007, vol. 18, issue 1, pp. 165-179.

Autorregresive conditional volatility, skewness and kurtosis

This paper proposes a GARCH-type model allowing for time-varying volatility, skewness and kurtosis. The model is estimated assuming a Gram-Charlier series expansion of the normal density function for the error term, which is easier to estimate than the non-central t distribution proposed by Harvey and Siddique (1999). Moreover, this approach accounts for time-varying skewness and kurtosis while the approach by Harvey and Siddique (1999) only accounts for nonnormal skewness. We apply this method to daily returns of a variety of stock indices and exchange rates. Our results indicate a significant presence of conditional skewness and kurtosis. It is also found that specifications allowing for time-varying skewness and kurtosis outperform specifications with constant third and fourth moments.

Monopoly price discrimination with constant elasticity demand

This paper presents new results on the welfare e¤ects of third-degree price discrimination under constant elasticity demand. We show that when both the share of the strong market under uniform pricing and the elasticity di¤erence between markets are high enough,then price discrimination not only can increase social welfare but also consumer surplus.

Spawning of yellowfin tuna and the discrimination of subpopulations

ENGLISH: The spawning of yellowfin tuna (Thunnus albacares) in the eastern Pacific Ocean was examined to ascertain the existence of separate subpopulations within this area. Investigations of biochemical genetics of yellowfin indicate that there are a number of genetically distinct groups in the eastern Pacific. In addition, yellowfin belong to two recruitment cohorts, X and Y, which are composed of a mixture of these genetically different groups. Spawning data were collected from 1956 through 1961 from the coastal fishing grounds, and from 1970 through 1973 from the offshore fishing areas. Temporal and spatial aspects of spawning of the fish of the two cohorts were analyzed to determine if yellowfin spawning behavior supports the existence of genetically separate subpopulations. Spawning condition was inferred from the maturity of the ovaries. It was found that the coastal fish of each cohort exhibit at least two spawning periods per year which vary in length and time of occurrence from year to year. Fish taken from the offshore fishing grounds did not exhibit this variable spawning pattern. Although samples were not available for all months, the data showed that each cohort has a spawning period of at least 7 months and may spawn year around. Samples from offshore areas also had much higher percentages of spawners than those from the coastal areas. Temporal differences in spawning are not maintaining the genetically separate groups found in the fishery, since fish of both recruitment cohorts spawn at the same time. Also, fish of both the X and Y cohorts spawned in all areas examined; however, these data are insufficient to determine whether spatial isolation of spawning groups is occurring within the areas. SPANISH: Se examinó el desove del atún aleta amarilla (Thunnus albacares) en el Océano Pacífico oriental para averiguar la existencia de subpoblaciones separadas en esta zona. La investigación genética bioquímica del aleta amarilla indica que existen varios grupos genéticamente distintos en el Pacífico oriental. Además, el aleta amarilla pertenece a dos cohortes de reclutamiento X e Y, formadas por una mezcla de estos grupos genéticamente diferentes. Los datos del desove fueron obtenidos de 1956 a 1961, en las regiones neríticas de pesca y desde 1970 a 1973, en las áreas oceánicas de pesca. Se analizaron los aspectos temporales y espaciales del desove de los peces de las dos cohortes, para determinar si el comportamiento reproductor del aleta amarilla, apoya la existencia de subpoblaciones genéticamente diferentes. Se derivó la condición del desove según la madurez de los ovarios. Se encontró que los peces costeros de cada cohorte exhibían por lo menos dos períodos anuales de desove que varían en duración y fecha de ocurrencia de un año a otro. Los peces capturados en las regiones oceánicas de pesca no exhibieron este patrón variable de desove. Aunque o se consiguieron muestras en todos los meses, los datos indican que cada cohorte tiene un período de desove por lo menos de 7 meses y puede que desoven durante todo el año. Las muestras de las regiones oceánicas tuvieron porcentajes mucho mayores de reproductores que los de las zonas neríticas. Las diferencias temporales en el desove no sirven para explicar la presencia de grupos genéticamente separados que se encuentran en la pesca, ya que los peces de ambas cohortes de reclutamiento desovan al mismo tiempo. Además, los peces de ambas cohortes (X e Y) desovan en todas las zonas examinadas; sin embargo, estos datos no son suficientes para determinar si el aislamiento de los grupos de desove ocurre en las zonas. (PDF contains 53 pages.)

Conditional independence in quantum many-body systems

In this thesis, I will discuss how information-theoretic arguments can be used to produce sharp bounds in the studies of quantum many-body systems. The main advantage of this approach, as opposed to the conventional field-theoretic argument, is that it depends very little on the precise form of the Hamiltonian. The main idea behind this thesis lies on a number of results concerning the structure of quantum states that are conditionally independent. Depending on the application, some of these statements are generalized to quantum states that are approximately conditionally independent. These structures can be readily used in the studies of gapped quantum many-body systems, especially for the ones in two spatial dimensions. A number of rigorous results are derived, including (i) a universal upper bound for a maximal number of topologically protected states that is expressed in terms of the topological entanglement entropy, (ii) a first-order perturbation bound for the topological entanglement entropy that decays superpolynomially with the size of the subsystem, and (iii) a correlation bound between an arbitrary local operator and a topological operator constructed from a set of local reduced density matrices. I also introduce exactly solvable models supported on a three-dimensional lattice that can be used as a reliable quantum memory.

Engineering nucleic acid mechanisms for regulation and readout of gene expression : conditional Dicer substrate formation and sensitive multiplexed northern blots

Nucleic acids are most commonly associated with the genetic code, transcription and gene expression. Recently, interest has grown in engineering nucleic acids for biological applications such as controlling or detecting gene expression. The natural presence and functionality of nucleic acids within living organisms coupled with their thermodynamic properties of base-pairing make them ideal for interfacing (and possibly altering) biological systems. We use engineered small conditional RNA or DNA (scRNA, scDNA, respectively) molecules to control and detect gene expression. Three novel systems are presented: two for conditional down-regulation of gene expression via RNA interference (RNAi) and a third system for simultaneous sensitive detection of multiple RNAs using labeled scRNAs.

RNAi is a powerful tool to study genetic circuits by knocking down a gene of interest. RNAi executes the logic: If gene Y is detected, silence gene Y. The fact that detection and silencing are restricted to the same gene means that RNAi is constitutively on. This poses a significant limitation when spatiotemporal control is needed. In this work, we engineered small nucleic acid molecules that execute the logic: If mRNA X is detected, form a Dicer substrate that targets independent mRNA Y for silencing. This is a step towards implementing the logic of conditional RNAi: If gene X is detected, silence gene Y. We use scRNAs and scDNAs to engineer signal transduction cascades that produce an RNAi effector molecule in response to hybridization to a nucleic acid target X. The first mechanism is solely based on hybridization cascades and uses scRNAs to produce a double-stranded RNA (dsRNA) Dicer substrate against target gene Y. The second mechanism is based on hybridization of scDNAs to detect a nucleic acid target and produce a template for transcription of a short hairpin RNA (shRNA) Dicer substrate against target gene Y. Test-tube studies for both mechanisms demonstrate that the output Dicer substrate is produced predominantly in the presence of a correct input target and is cleaved by Dicer to produce a small interfering RNA (siRNA). Both output products can lead to gene knockdown in tissue culture. To date, signal transduction is not observed in cells; possible reasons are explored.

Signal transduction cascades are composed of multiple scRNAs (or scDNAs). The need to study multiple molecules simultaneously has motivated the development of a highly sensitive method for multiplexed northern blots. The core technology of our system is the utilization of a hybridization chain reaction (HCR) of scRNAs as the detection signal for a northern blot. To achieve multiplexing (simultaneous detection of multiple genes), we use fluorescently tagged scRNAs. Moreover, by using radioactive labeling of scRNAs, the system exhibits a five-fold increase, compared to the literature, in detection sensitivity. Sensitive multiplexed northern blot detection provides an avenue for exploring the fate of scRNAs and scDNAs in tissue culture.